Type your answer What is the reference angle of the angle \( 135^{\circ} \) ?

The reference angle for any angle is the acute angle it makes with the x-axis. For an angle of \( 135^{\circ} \), which lies in the second quadrant, the reference angle is calculated by subtracting it from \( 180^{\circ} \). So, \( 180^{\circ} - 135^{\circ} = 45^{\circ} \). Therefore, the reference angle is \( 45^{\circ} \)! Now, here's a fun fact: reference angles are like the “introduction” to their bigger angle's story! They help us easily determine the sine, cosine, and tangent values for greater angles by giving us that familiar “acute” look. Next time you see a \( 135^{\circ} \) angle, just think of it as a cool \( 45^{\circ} \) buddy ready to party with trigonometric functions!